{"id":"vidhyamitra:city-day:rishikesh:2091-12-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/rishikesh/2091-12-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2091-12-16","date_display":"December 16, 2091 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2091,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485131.770833,"kali_year":5193,"ahargana":1896666.2708,"sun":{"sidereal_longitude":238.5618,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":307.6597,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":69.0979,"elapsed_within_tithi_degrees":9.0979},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.6597,"elapsed_within_degrees":0.993},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.2215},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2091,"month":12,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2485131.770833,"ahargana":1896666.2708,"kali_year":5193,"ayanamsa_lahiri":25.1376,"grahas":{"sun":{"sidereal_longitude":239.16734899999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":309.842049,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false,"latitude":-0.1699},"mars":{"sidereal_longitude":266.640349,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":220.485549,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":269.20484899999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":273.74304900000004,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":71.12914899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":125.4936,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":305.4936,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2091,"month":12,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2485131.770833,"kali_year":5193,"ahargana":1896666.2708,"sun":{"sidereal_longitude":238.5618,"rashi":8,"rashi_name":"Vṛścika"},"moon":{"sidereal_longitude":307.6597,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":69.0979,"elapsed_within_tithi_degrees":9.0979},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":307.6597,"elapsed_within_degrees":0.993},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":186.2215},"karana":{"half_tithi_index":11,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.17,"elongation":69.098},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.17,"opposition_distance":110.902}},"eclipse_window_40days":[]},"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"rishikesh","name":"Ṛṣikeśa","lat":30.0869,"lon":78.2676,"tz_offset_hours":5.5,"state":"Uttarakhand","country":"IN","tier":"tirtha"},"sunriseLocal":"07:07","sunsetLocal":"17:20","solarNoonLocal":"12:13","dayLengthHours":10.216146408161718,"dayLengthDisplay":"10 Hours 12 Mins 58 Secs","nightLengthDisplay":"13 Hours 47 Mins 02 Secs","moonriseLocal":"11:16","moonsetLocal":"22:36","rahuKala":{"name":"Rāhu Kāla","start":"16:03","end":"17:20","startHours":16.051266289274437,"endHours":17.32828459029465,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:13","end":"13:30","startHours":12.22021138621379,"endHours":13.497229687234007,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:46","end":"16:03","startHours":14.77424798825422,"endHours":16.051266289274437,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:30","end":"09:50","startHours":9.495905677370667,"endHours":9.836443890976057,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:32","end":"07:49","startHours":7.537810949139671,"endHours":7.810241520023983,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:34","startHours":11.8796731726084,"endHours":12.56074959981918,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:26","startHours":5.74998532771137,"endHours":6.431061754922151,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:16","end":"07:07","startHours":6.260792648119456,"endHours":7.112138182132933,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:55","end":"14:36","startHours":13.922902454240745,"endHours":14.603978881451527,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:08","end":"17:32","startHours":17.12828459029465,"endHours":17.52828459029465,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:20","end":"17:45","startHours":17.32828459029465,"endHours":17.75395735730139,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:05","end":"18:50","startHours":17.07828459029465,"endHours":18.82828459029465,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:34","startHours":23.8796731726084,"endHours":24.560749599819182,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:07","end":"08:23","startHours":7.112138182132933,"endHours":8.389156483153148,"quality":"inauspicious"},{"name":"Chala","start":"08:23","end":"09:40","startHours":8.389156483153148,"endHours":9.666174784173363,"quality":"neutral"},{"name":"Labha","start":"09:40","end":"10:57","startHours":9.666174784173363,"endHours":10.943193085193577,"quality":"auspicious"},{"name":"Amṛta","start":"10:57","end":"12:13","startHours":10.943193085193577,"endHours":12.22021138621379,"quality":"auspicious"},{"name":"Kāla","start":"12:13","end":"13:30","startHours":12.22021138621379,"endHours":13.497229687234007,"quality":"inauspicious"},{"name":"Śubha","start":"13:30","end":"14:46","startHours":13.497229687234007,"endHours":14.77424798825422,"quality":"auspicious"},{"name":"Roga","start":"14:46","end":"16:03","startHours":14.77424798825422,"endHours":16.051266289274437,"quality":"inauspicious"},{"name":"Udveg","start":"16:03","end":"17:20","startHours":16.051266289274437,"endHours":17.32828459029465,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:20","end":"19:03","startHours":17.32828459029465,"endHours":19.051266289274437,"quality":"auspicious"},{"name":"Roga","start":"19:03","end":"20:46","startHours":19.051266289274437,"endHours":20.77424798825422,"quality":"inauspicious"},{"name":"Udveg","start":"20:46","end":"22:30","startHours":20.77424798825422,"endHours":22.497229687234007,"quality":"inauspicious"},{"name":"Chala","start":"22:30","end":"00:13","startHours":22.497229687234007,"endHours":24.22021138621379,"quality":"neutral"},{"name":"Labha","start":"00:13","end":"01:57","startHours":24.22021138621379,"endHours":25.943193085193577,"quality":"auspicious"},{"name":"Amṛta","start":"01:57","end":"03:40","startHours":25.943193085193577,"endHours":27.666174784173364,"quality":"auspicious"},{"name":"Kāla","start":"03:40","end":"05:23","startHours":27.666174784173364,"endHours":29.389156483153148,"quality":"inauspicious"},{"name":"Śubha","start":"05:23","end":"07:07","startHours":29.389156483153148,"endHours":31.11213818213293,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:07","end":"08:07","startHours":7.112138182132933,"endHours":8.112138182132933,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:07","end":"09:07","startHours":8.112138182132933,"endHours":9.112138182132933,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:07","end":"10:07","startHours":9.112138182132933,"endHours":10.112138182132933,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:07","end":"11:07","startHours":10.112138182132933,"endHours":11.112138182132933,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:07","end":"12:07","startHours":11.112138182132933,"endHours":12.112138182132933,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:07","end":"13:07","startHours":12.112138182132933,"endHours":13.112138182132933,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:07","end":"14:07","startHours":13.112138182132933,"endHours":14.112138182132933,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:07","end":"15:07","startHours":14.112138182132933,"endHours":15.112138182132933,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:07","end":"16:07","startHours":15.112138182132933,"endHours":16.11213818213293,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:07","end":"17:07","startHours":16.11213818213293,"endHours":17.11213818213293,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:07","end":"18:07","startHours":17.11213818213293,"endHours":18.11213818213293,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:07","end":"19:07","startHours":18.11213818213293,"endHours":19.11213818213293,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:07","end":"20:07","startHours":19.11213818213293,"endHours":20.11213818213293,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:07","end":"21:07","startHours":20.11213818213293,"endHours":21.11213818213293,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:07","end":"22:07","startHours":21.11213818213293,"endHours":22.11213818213293,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:07","end":"23:07","startHours":22.11213818213293,"endHours":23.11213818213293,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:07","end":"00:07","startHours":23.11213818213293,"endHours":24.11213818213293,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:07","end":"01:07","startHours":24.11213818213293,"endHours":25.11213818213293,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:07","end":"02:07","startHours":25.11213818213293,"endHours":26.11213818213293,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:07","end":"03:07","startHours":26.11213818213293,"endHours":27.11213818213293,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:07","end":"04:07","startHours":27.11213818213293,"endHours":28.11213818213293,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:07","end":"05:07","startHours":28.11213818213293,"endHours":29.11213818213293,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:07","end":"06:07","startHours":29.11213818213293,"endHours":30.11213818213293,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:07","end":"07:07","startHours":30.11213818213293,"endHours":31.11213818213293,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"drikRitu":"Hemanta (Pre-winter) (Drik)","vedicRitu":"Śarad (Autumn)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-23.31396268582934,"eotMinutes":3.716916827172506,"ayanamsa":25.1376}},"calendars":{"vikram_samvat":2148,"vikram_samvatsara":"Raktākṣī","saka_samvat":2013,"saka_samvatsara":"Virodhakṛt","bengali_samvat":1498,"malayalam_era":1267,"nanakshahi_year":622,"lunar_month":"Mārgaśīrṣa","lunar_month_paksha_full":"Mārgaśīrṣa Śukla Pakṣa","solar_month":"Vṛścika (Kārttikai)","ritu":"Hemanta (Pre-winter)","display_summary":"Mārgaśīrṣa Śukla Ṣaṣṭhī · Vikram 2148 Raktākṣī · Śaka 2013 Virodhakṛt"},"festivals":[{"id":"skanda-shashthi","name":"Skanda Ṣaṣṭhī","name_sanskrit":"स्कन्द षष्ठी","tradition":"Shaiva","associated_deity":"Kārttikeya / Skanda / Murugan","significance":"Kārttikeya's victory over Tāraka. Important Shaiva day in Tamil tradition.","vrata":true,"detection":{"tithi_number":6,"tithi_paksha":"Śukla","lunar_month":"Mārgaśīrṣa"},"precedence":3},{"id":"vrischika-sankranti","name":"Vṛścika Saṅkrānti","name_sanskrit":"वृश्चिक सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Scorpio.","vrata":false,"detection":{"sun_rashi":"Vṛścika"},"precedence":5}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"rishikesh"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga December 16, 2091 CE · Ṛṣikeśa · Vidhyamitra","description":"December 16, 2091 CE for Ṛṣikeśa: Śukla Ṣaṣṭhī, sūryodaya 07:07, sūryāsta 17:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/rishikesh/2091-12-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/rishikesh/2091-12-16","sa":"https://sa.vidhyamitra.com/city/rishikesh/2091-12-16","hi":"https://hi.vidhyamitra.com/city/rishikesh/2091-12-16","x-default":"https://vidhyamitra.com/city/rishikesh/2091-12-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-20T15:22:38.036Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-20T15:22:38.036Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-20T15:22:38.036Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}